[kingkawn]

No, the number of people unable to get housing will be reduced by the number of people who win the lottery and get housing. Leverage the market or direct government sponsorship or by whatever means people create, if enough housing is built then the lottery starts to make a more noticeable dent in the out of housing population.

[lovich]

>No, the number of people unable to get housing will be reduced by the number of people who win the lottery and get housing

That is the same number of people who currently can get housing by buying it. Until you change either the number of people attempting to move into the area or the number of housing units, any change will just change who loses and wins, not how many people lose or win